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Finding the Fourth Proportional to 22,514.88, 31,070.53 and 12,578.88

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Solution

The fourth proportional to 22,514.88, 31,070.53 and 12,578.88 is: 17,358.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,514.88 : 31,070.53 = 12,578.88 : x
  2. Step 2: Convert to fraction form
    22,514.88/31,070.53 = 12,578.88/x
  3. Step 3: Cross multiply
    22,514.88x = 31,070.53 × 12,578.88
  4. Step 4: Simplify right side
    22,514.88x = 390,832,468.41
  5. Step 5: Solve for x
    x = 390,832,468.41/22,514.88
  6. Step 6: Final answer
    x = 17,358.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.